#4
(-2,4)(-3,5)
slope = (5-4)/(-3+2) = 1/-1 = -1
point slope form
<span>y-y1 = m(x - x1)
</span>y - 4 = -(x + 2)
#5
y intercept of 3 , y = 3 or (0,3)
x intercept of -2 , x = - 2 or (-2,0)
slope = -3/2
slope intercept form
y = mx + b
y = -3/2x + 3
#6
point slope form
y = 1/2x - 4 passing thru(5,2)
y - 2 = 1/2 (x - 5)
# 7
y = 1/2x - 4
perpendicular slope = -2
passing thru (-1,4)
using point slope form
y-4 = -2(x+1)
Let Q be the point (a, b). Since the midpoint of P (2, 3) and Q (a, b) is (4, 6), we have
(2 + a)/2 = 4
(3 + b)/2 = 6
Solve for a and b :
(2 + a)/2 = 4
2 + a = 8
a = 6
(3 + b)/2 = 6
3 + b = 12
b = 9
So the coordinates of Q are (6, 9).
Ee a solution process below:
Explanation:
The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
(
y
−
−
1
)
=
−
3
(
x
−
2
)
(
y
+
1
)
=
−
3
(
x
−
2
)
Answer: x = 6
Step-by-step explanation: To solve for <em>x</em>, we must first isolate the term containing <em>x</em> which in this problem is -3x.
Since 28 is being added to -3x, we subtract 28 from both sides of the equation to isolate the -3x. On the left, the +28 and -28 cancel out and on the right 10 - 28 is -18 so we have -3x = -18.
Now we can finish things off by just dividing both sides of the equation by -3. On the left the -3's cancel and we have <em>x</em>. On the right, -18 divided by -3 is 6 so we have x = 6 which is the solution to our equation.
the answer to your question is
7y+7x+5
